Finding the Fourth Proportional to 10,397.72, 14,348.90 and 5,682.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.72 : 14,348.90 = 5,682.11 : x
2. Step 2: Convert to fraction form
   10,397.72/14,348.90 = 5,682.11/x
3. Step 3: Cross multiply
   10,397.72x = 14,348.90 × 5,682.11
4. Step 4: Simplify right side
   10,397.72x = 81,531,928.02
5. Step 5: Solve for x
   x = 81,531,928.02/10,397.72
6. Step 6: Final answer
   x = 7,841.33